256220548320 has 768 divisors, whose sum is σ = 985733038080. Its totient is φ = 55175577600.

The previous prime is 256220548279. The next prime is 256220548373. The reversal of 256220548320 is 23845022652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 163093135 + ... + 163094705.

It is an arithmetic number, because the mean of its divisors is an integer number (1283506560).

Almost surely, 2^256220548320 is an apocalyptic number.

256220548320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256220548320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492866519040).

256220548320 is an abundant number, since it is smaller than the sum of its proper divisors (729512489760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256220548320 is a wasteful number, since it uses less digits than its factorization.

256220548320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 256220548320 in words is "two hundred fifty-six billion, two hundred twenty million, five hundred forty-eight thousand, three hundred twenty".